Applied Mathematics

Application of Mathematics in supporting the Agricultural Experiment Design Model The experiment is a series of activities in which each stage in the series is really defined; done to find answers about the problems examined through a hypothesis testing. The experiment used to test a hypothesis or provisional estimates of a natural occurrence or non-natural in the physical and non physical environment resulting from the hypothesis or answer these allegations. The hypothesis to be used can be positive or negative in the sense of receiving the results of the experiment as a positive value and reject the results of the experiment as a negative value. By the time we ob…

Hi everyone. I'm in a lab right and trying to learn linear algebra, statistics modeling, programming all at the same time and it's overwhelming me. My project is systems biology modeling (regulation network inference) and so it involves learning and clustering. Most of the reviews and textbooks that I'm trying to read are too advanced or too slow. Does anybody know of any texts or resources where I learn this stuff gently, but in a way where I wouldn't have to essentially do a whole applied math degree just to get up to scratch? I started watching the Kahn Academy lectures on linear algebra, but it's fairly slow. Strang's course on MIT OCW and his applied LA text…

Hello, Is there a possibility to disorder the periodicity in some predator-prey model? I'm looking for some example. What is the reason that could cause the disorder? What about the system's behaviour after disordering its periodicity? Thanks...

My Casio fx-9750 GIl gets an "Ma error" if say I plug in sin^-1 8/15. Is there any solution? Can I do it without a calculator? Actually I plugged in .53 instead of 8/15, problem solved.

Hello, Lets say I have an equation y=mx^2. If I plot this equation in excel and then set the x-axis to plot in log is the same thing as y=m*log(x^2)? Having difficulty in trying to discern what the log plot actually is doing.

If you have x number of unique items, and have to put them in an order, would there be x! possible orders? For example, if there are five unique items, are there 120 possible orders in which to place them, and, if there are ten unique items, there are 3,628,800 different orders, and so on and so forth. Is that correct?

There are five clocks. Each one of them chime when it has made a full hour. They run at consistent rates but at different and incorrect rates. Each hour (according to an accurate clock) at least two clocks chime. How would i prove that i can throw away at least 3 of the 5 clocks and still end up hearing a chime at each true hour?

In a book I am reading they list these steps and I don't understand the simplification... BTW u is a random variable and bar over u is the average for notation clearification [math] \begin{array}{l} \Delta u = u - \overline u \\ \overline {\Delta u} = \overline {(u - \overline u )} = \overline u - \overline u = 0 \\ \overline { < \Delta u > ^2 } = \sum\limits_{i = 1}^M {P(u_i } )(u_i - \overline u )^2 > 0 \\ \overline {(u_i - \overline u )^2 } = \overline {(u^2 - 2u\overline u + \overline u ^2 )} = \overline {u^2 } - 2\overline {uu} + \overline u ^2 \\ \end{array} [/math] and then they simplify to […

You have nine unique items. You must put them in groups of three, no more no less. Each unique item can be in more than one group, but cannot occupy two spots in the same group. How many possible groupings are there? I hope I'm making sense.

I solved differential equation before. Which solution is accurate between analytical solution and numerical solution? Most people say analytical solution is accurate. But every differential equation is not easy to get the analytical solution. And then series solution is funny. It can not get directly graph or table. Middle step is used for getting final data. Any good suggestion about these methods?

what is difference between mathematics and statics

If, based on all current evidence, the chance of something possible being objectively true is "1 in infinity", does that mean infinite improbability, or impossibility, or something like that? Or something else entirely? Don't ask what could possibly have a "one in infinity" chance of being true:P I just want to know what "1 in infinity" means, and if I completely misunderstand the concept or not. Thanks! EDIT: Oh, and what if it were "x in infinity" where x was any positive integer, would it still be the same as "1 in infinity"?

I worked out a method for predicting what marks I'll get for my exams based on statistics. I first tried it when I wrote my Statistics exam this november. It turned out that the mark I got was only 3% different than the mark I'd predicted with my method, so I deemed it reliable enough to continue using, for all-multiple-choice exmas at least. It might not work with ordinary tests, because very few of them have solely multiple choice questions, and they have far fewer questions, ie sample size. My method is fairly simple, and carried out in steps. Step One: As I answer each question, I give it a rating from 1 to 3 based on how certain I am that I got the question righ…

hey what exactly did Ramanujan do in the field of conic sections?

o.k. the question is if we take the earth's population at any given time in the present (what it is approximately) and we stood everyone side by side on one continent approximately how much of the earth's surface would be covered by living human being's. We will assume each person covers 1.5 square feet of space. to avoid a large debate about how to average the size. I became interested after viewing images from a satellite. from the eye in the sky it does not appear that humans occupy a significant amount of the earth's crust even when you include buildings roadway's etc. from up there a city looks like a bottle cap on the lawn.

Can anyone tell me the angular relationship between two tangent spheres. Here is what I'm trying to figure out: Take a pair of spheres equal in size and draw two great circles on the surface of each sphere. The great circles divide each spherical surface into four equal quarters, intersecting at the poles of each sphere at right angles. Now let's permit the spheres to intersect at the poles so that the point where the right angles of both spheres touch are aligned. If that makes sense, please tell me the value of the angles which the two spheres now share. Please let me know if I need to clarify or draw a picture. Regards! Wick

f(f(n-1))=f(n+1)-f(n) if a solution exists (which i somehow doubt but am unable to prove)

find all natural nos n auch that n(n+1)(n+2)(n+3) has exactly 3 prime divisors. seems to never hold true for 'sufficiently' large nos. many small n satisfy.

Assuming that I invest a certain amount of money into a single corporate bond, with a rate of 7.5%, then, assuming the corporation does not default, and that the bond is automatically renewed each term unless I explicitly ask for it, how long will it take before the value of the bond doubles? For example, if I invest $10,000 into a 7.5% corporate bond, how long will it take me to rack up $20,000? If I invest $25k into that same bond, how long will it take me to rack up $50k? Thanks. EDIT: By the way: Interest would compound quarterly, because I feel that is the most common compounding period when an individual is the one investing, rather than a finance ins…

Puzzle on the course “Theory of the numbers” Theorem If integers a, b, a+b and r are mutually-prime, then there is such d, relatively prime with r, that the ends of the numbers ad and bd are equal on the module r. *** [Consequence. With relatively prime a, b, a+b and r, where the value r is undertaken from the equality: 1*) [math]a^n+b^n=(a+b)r^n=c^n[/math] or [math]a^n+b^n=(a+b)nr^n=c^n[/math], equality 1* is contradictory in the base r, since in the equality 2*) [math](ad)^n+(bd)^n=(cd)^n[/math] ([math]=Pr[/math]) right side is divided by r, but leftist is not divided.] Proof is located in the stage of formulation.

Hi everybody, you might have heard of an octopus who correctly predicted the winners of some matches in the Football World Cup. I think it was 7 matches he guessed right. I was discussing this with a friend last Sunday, and I was rather amazed when he told me there was nothing special in the octopus' achievement: he could have just guessed them right by chance. And his explanation was that if you toss a coin 7 times, any sequence of heads/tails has the same probability of happening: we only pay special attention to the one with all tails or all heads. I later examined the problem in detail. As you all know, there are 128 possible sequences, and in fact it's tru…

I need a pair of items... commonly occurring items that you can find virtually anywhere in the world. One of them needs to be EXACTLY six inches long, by standard design, and the other needs to be EXACTLY nine inches long, by standard design. When I say "standard design," I mean something like how a large paper clip, by standard design, weighs about a gram. Any ideas?

I tried doing this equation. http://en.wikipedia.org/wiki/Newton%27s_law_of_universal_gravitation Using the Earth Moon system. So I did it and got this number, 1.961512E247. From these numbers, G= the gravitational constant, M earths mass, M2 Moons mass, and r^2 as the distance between the earth and the moon, which is 348, 403 km. I divided this all and got that humongous number. Is it wrong? Am I doing something wrong? thanks.

A man living near me won the lottery twice, both times he got five balls plus the bonus ball The odds of his first win were 2,330,636 to one. But the second time, the odds shot up to 5,400,000, 000,000 to one. Yesterday, Mr McDermott celebrated aboard a yacht at the Port Solent marina near Portsmouth - symbolising the fact that he and his wife are soon heading off to the island of Kerkenah, off Tunisia, where they have bought a house. According to this, winning the lottery once has odds of 2,330,636 : 1 Winning the lottery twice has odds of 5,400,000,000,000 : 1 Now lets assume that I won the lottery last week. If I buy a ticket for next weeks lottery draw, what ar…

WARNING: LONG POST AHEAD! I am about to transfer to a new college. Only two of my current classes will transfer, so, almost completely, I have to start all over. The college is private. It is online, so living expenses are paid for myself. However, the tuition for the entire bachelor's degree is $54,000. Officially, it is 123 credit hours, with $439 per credit hour. However, as I said, two classes will transfer. Those are English Comp 1 and Finite math (because those classes are universal). This will knock my credit hours down to 117, and, therefore, knock my tuition down to $51,366. However, I must also buy an expensive laptop to perform my classes on…